Interpretation:
The partition function for a particle in a one-dimensional box and two-dimensional box is to be predicted.
Concept introduction:
Statistical
Where,
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It is also called as canonical ensemble partition function.
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Chapter 17 Solutions
Bundle: Physical Chemistry, 2nd + Student Solutions Manual
- What is degeneracy of rotational mode and what is the physical interpretation of it.arrow_forwardUse Figure 1.11 to construct the cyclic rule equivalent of Does the answer make sense in light of the original partial derivative?arrow_forwardnote: start with the expression for the mean of a canonical ensemble and use the relationship between the molecular and canonical ensemble partition functionsarrow_forward
- 1. What is the theorem of "equipartition of energy" in classical statistical mechanics? Based on this theorem, derive the internal energies for monatomic, diatomic and triatomic (both linear and nonlinear) ideal gases.arrow_forward(b) Using a rigid rotor model, derive rotational partition function in the limit of high temperature.arrow_forwardWe discussed in class (several times) how the Boltzmann distribution can be used to relate the relative populations of two states differing in energy by AU. Suppose you are given a vial containing a solution of glucose in water (don't ask why this would happen). For the purpose of this question, glucose exists in one of two conformations-"chair" or "boat"-with an energy difference (AU) of 25.11 kJ mol1 between them. 1. What would be the proportion of molecules in the "boat" conformation at 310K? 2. Thinking back to our discussion of the individual sources of energy that go into the potential energy calculation for a molecule (e.g. Upond Uangle, Uelectrostatic. etc), give a plausible explanation of why the "boat" conformation is less stable. H он "Chair" OH "Вoat" но но но- HO. H. HO. HO H. HO. OHarrow_forward
- Which if the following statement describe properties of the Boltzmann expression in regards to the relative occupancy of energy states: Select one: O a. Lower temperatures favours more molecules in the higher energy levels O b. Lower the energy separation, equates to more molecules in the lower energy levels c. Lower the energy separation, equates to more molecules in the higher energy levels O d. Higher temperatures favours more molecules in the lower energy levelsarrow_forwardCalculate the ratio of the translational partition functions of Ar and Ne at the same temperature and volume.arrow_forwardGive an example of 2 isomers of a molecule that have different values of the rotational partition function at the same temperature.arrow_forward
- 1. Show that the partition function for a harmonic oscillator in the x direction only is given by: qx exp(-ẞhv) 1-exp(-ẞhv)arrow_forwardWhat is the zero energy of an atom or molecule for a monatomic atom in the electronic partition function and translational. As well as zero energy for the molecule of a diatomic partition function of electronic, translational, rotational and vibrational? Want solution ASAParrow_forwardWhat do you mean by the term equilibrium partition coefficient?arrow_forward
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,
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